Question

Points P, Q, and R are collinear on PR, and PQ:PR = _____. P is located at the origin, Q is located at (x, y), and R is located at (-12, 0). What are the values of x and y?

a. x = 0, y = -6
b. x = -6, y = 0
c. x = 6, y = 0
d. x = 0, y = 6

Answer 1

To find the values of x and y, considering the points P, Q, and R being collinear on PR.

Step-by-step explanation:

Given that points P, Q, and R are collinear on PR, we can determine the ratio between PQ and PR. Let's find the coordinates of Q first.

P is located at the origin, which means its coordinates are (0, 0).

R is located at (-12, 0).

Since points P, Q, and R are collinear, this means that the ratio of PQ to PR will be the same as the ratio of the difference in x-coordinates to the difference in y-coordinates.

So, the ratio PQ:PR is:

PQ:PR = (x - 0):(-12 - 0) = x:-12

To find the values of x and y, we need more information.